- The F
^{G}-construction gives a special simplicial group model for the loops on K(Z/p^{r},1) smash X. A certain natural filtration will be considered. - We define certain functors from the category of simplicial
Hopf algebras to the category of algebras. By using
simplicial group rings, the group ring of the homotopy
groups of K(Z/p
^{r},1) smash X are shown to be given by these functors on certain special simplicial Hopf algebras. - Certain specific combinatorial descriptions of the homotopy groups of
the suspension of K(Z/p
^{r},1).

http://www.wmich.edu/math-stat/midwest/wu.html

Last modified: September 10, 1996